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- Title
CONVERGENT FINITE DIFFERENCE SCHEME FOR 1D FLOW OF COMPRESSIBLE MICROPOLAR FLUID.
- Authors
MUJAKOVIĆ, NERMINA; ČRNJARIĆ-ŽIC, NELIDA
- Abstract
In this paper we define a finite difference method for the nonstationary 1D flow of the compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamical sense perfect and polytropic. The homogeneous boundary conditions for velocity, microrotation and heat flux are proposed. The sequence of approximate solutions for our problem is constructed by using the defined finite difference approximate equations system. We investigate the properties of these approximate solutions and establish their convergence to the strong solution of our problem globally in time, which is the main results of the paper. A numerical experiment is performed by solving the defined approximate ordinary differential equations system using strong-stability preserving (SSP) Runge-Kutta scheme for time discretization.
- Subjects
FINITE difference method; STOCHASTIC convergence; FINITE differences; APPROXIMATE solutions (Logic); THERMODYNAMIC equilibrium; HEAT flux
- Publication
International Journal of Numerical Analysis & Modeling, 2015, Vol 12, Issue 1, p94
- ISSN
1705-5105
- Publication type
Article